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A measurement of the photon polarization in radiative penguin $B$ decaysprovides a test of the Standard Model and a probe for New Physics, that canlead to a deviation from the Standard Model prediction of left-handed photonsin $b\to s \gamma$. We propose a new method to measure the photon polarizationusing the baryonic decay $B^- \to \Lambda\bar{p} \gamma$. The $P$-violating$\Lambda$-hyperon decay allows a measurement of the $\Lambda$ helicity to beperformed, which can be uniquely related to the photon polarization in amodel-independent way. The $B^- \to \Lambda\bar{p} \gamma$ decay was recentlymeasured to have a large branching fraction providing a possibility to getmeaningful results with the data already available at LHC and B-factoryexperiments. An increase of the $B$-meson sample at high luminosity LHCexperiments and Belle II should provide a really stringent test by using thismethod already in the near future.

On measurement of photon polarization in radiative penguin $B$ decays to baryons